{
  "annotation_id": "45430bc1-11ed-4425-895c-b7f538c77b10",
  "date_created": "2026-03-02T18:01:48.614000Z",
  "date_modified": "2026-03-02T18:01:48.614000Z",
  "file_hash": "b0a42b85b0c50837c5daa122f9effc46fcf5a60e383734ee3cc298187083a9e4",
  "private": false,
  "record": {
    "abstract": "A general quantum search algorithm with arbitrary unitary transformations and\nan arbitrary initial state is considered in this work. To serach a marked state\nwith certainty, we have derived, using an SU(2) representation: (1) the\nmatching condition relating the phase rotations in the algorithm, (2) a concise\nformula for evaluating the required number of iterations for the search, and\n(3) the final state after the search, with a phase angle in its amplitude of\nunity modulus. Moreover, the optimal choices and modifications of the phase\nangles in the Grover kernel is also studied.",
    "arxiv_id": "quant-ph/0112035",
    "authors": [
      "Jin-Yuan Hsieh",
      "Che-Ming Li"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.65.052322",
    "journal_ref": "Physical Review A, Volume 65, 052322 (2002)",
    "title": "A General SU(2) Formulation for Quantum Searching with Certainty",
    "url": "https://arxiv.org/abs/quant-ph/0112035"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ed60ec0a-55ed-4b9b-abfc-cfcb8470787d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}